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Finding the Fourth Proportional to 1,781.26, 2,457.26 and 1,152.32

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Solution

The fourth proportional to 1,781.26, 2,457.26 and 1,152.32 is: 1,589.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.26 : 2,457.26 = 1,152.32 : x
  2. Step 2: Convert to fraction form
    1,781.26/2,457.26 = 1,152.32/x
  3. Step 3: Cross multiply
    1,781.26x = 2,457.26 × 1,152.32
  4. Step 4: Simplify right side
    1,781.26x = 2,831,549.84
  5. Step 5: Solve for x
    x = 2,831,549.84/1,781.26
  6. Step 6: Final answer
    x = 1,589.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.